| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
If a = c = 2, b = d = 5, what is the area of this rectangle?
| 35 | |
| 10 | |
| 42 | |
| 64 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 2 x 5
a = 10
The dimensions of this cube are height (h) = 5, length (l) = 2, and width (w) = 7. What is the volume?
| 288 | |
| 70 | |
| 36 | |
| 128 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 2 x 7
v = 70
Find the value of c:
8c + x = -9
-3c + 2x = -4
| 3 | |
| 37 | |
| \(\frac{18}{29}\) | |
| -\(\frac{14}{19}\) |
You need to find the value of c so solve the first equation in terms of x:
8c + x = -9
x = -9 - 8c
then substitute the result (-9 - 8c) into the second equation:
-3c + 2(-9 - 8c) = -4
-3c + (2 x -9) + (2 x -8c) = -4
-3c - 18 - 16c = -4
-3c - 16c = -4 + 18
-19c = 14
c = \( \frac{14}{-19} \)
c = -\(\frac{14}{19}\)
Solve a + 7a = -8a + 6z + 1 for a in terms of z.
| 2\(\frac{2}{5}\)z + 1\(\frac{1}{5}\) | |
| -\(\frac{1}{9}\)z + \(\frac{1}{9}\) | |
| 3z - 3 | |
| -\(\frac{2}{5}\)z + \(\frac{2}{5}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
a + 7z = -8a + 6z + 1
a = -8a + 6z + 1 - 7z
a + 8a = 6z + 1 - 7z
9a = -z + 1
a = \( \frac{-z + 1}{9} \)
a = \( \frac{-z}{9} \) + \( \frac{1}{9} \)
a = -\(\frac{1}{9}\)z + \(\frac{1}{9}\)
On this circle, a line segment connecting point A to point D is called:
chord |
|
radius |
|
diameter |
|
circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).